What is the definition of adiabatic CMb spectrum in simple inflationary models?

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    Adiabatic Cmb Spectrum
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SUMMARY

The adiabatic Cosmic Microwave Background (CMB) spectrum in simple inflationary models refers to the uniformity of density perturbations across all components of the Universe, expressed mathematically as \(\frac{\delta \rho_a}{(\rho_a + \bar{\rho})}\). This indicates that the fluctuations are consistent for different constituents, where \(\bar{\rho}\) represents the mean background density. Alternatives to adiabatic fluctuations include isocurvature fluctuations, which are discussed in various academic papers linked in the discussion.

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Can someone give a clear definition of what we mean when we say the CMb spectrum is adiabatic and what it means for simple infaltionary models?
 
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Thanks for that but I don't see cosmology or CMb research listed as one of those concepts.
 


It is usually used in the context of the density perturbations. In particular the density perturbations will be the same for all constituent components of the Universe:

\frac{\delta \rho_a}{(\rho_a + \bar{\rho})} will be the same for all components (enumerated by 'a') where \bar{\rho} is our mean background value. Have a quick glance at the http://en.wikipedia.org/wiki/Primordial_fluctuations" page.
 
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Thanks
 


The alternatives to adiabatic are usually along the lines of 'isocurvature' fluctuations etc. Just in case you were interested here are a few interesting links:

http://arxiv.org/abs/astro-ph/9610219"

http://arxiv.org/abs/0907.0261"

http://arxiv.org/abs/0803.0547" (This has a clearer discussion than the 7yr or 3yr papers in my opinion. ; It's also well referenced so you can seek out other papers of interest etc.)

http://arxiv.org/abs/0812.3500"
 
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